Question

Just need help on this one problem about a triangle

Answer 1

Given:

ΔABC is an equilateral triangle.

AB = 7.5x, BC = 6x + 3 and CA = 10x - 5

To find:

The value of x.

Solution:

In equilateral triangle, all sides are equal.

AB = BC = CA

`7.5x=6x + 3 = 10x - 5`

Take any two sides only:

AB = BC

`7.5 x=6 x+3`

Subtract 6x from both sides.

`7.5 x-6 x=6x+3-6x`

`1.5 x=3`

Divide by 1.5 on both sides.

`$(1.5 x)/(1.5)=(3)/(1.5)`

`x=2`

The value of x is 2.